You can do the bodyweight stuff on the same days as the strength. In "A Muli-Year System for Weightlifting" they all do GPP (which could be bodyweight) after or before, or sometimes both with the strength exercises. I think everyone should do GPP regardless of sport. The Soviets regarded it as essential back in their prime, and now, it would appear the Chinese, today, do as well. I have seen many videos of the Chinese lifters doing gymnastics and bodyweight exercise at the training facilities. I believe it is necessary for recovery and work capacity.
If you still don't want to, just design your own westside template, but with more RE (repetition efforts) and Maximal Effort days than speed days.
That should give you some ideas.